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Finding the Third Proportional to 38,303,999 and 53,748,100

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Solution

The third proportional to 38,303,999 and 53,748,100 is: 75,419,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,303,999 : 53,748,100 = 53,748,100 : x
  2. Step 2: Convert to fraction form
    38,303,999/53,748,100 = 53,748,100/x
  3. Step 3: Cross multiply
    38,303,999x = 53,748,100 × 53,748,100
  4. Step 4: Simplify right side
    38,303,999x = 2,888,858,253,610,000
  5. Step 5: Solve for x
    x = 2,888,858,253,610,000/38,303,999
  6. Step 6: Final answer
    x = 75,419,233.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.